content string | quality_label int64 | meta string | all-MiniLM-L6-v2_embedding list | doc_id int64 | unique_id string |
|---|---|---|---|---|---|
Model categories and cellular maps
up vote 2 down vote favorite
2
A question came up on MSE and it generated, for me, the following question: When looking at the maps of CW/cell/simplicial complexes do the cellular/simplicial maps have a model theoretic
interpretation? Are they cofibrant objects in some model structur... | 4 | [
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0.09228515625,
0.007476806640625,
0.0107421875,
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0.012939453125,
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-0.044189453125,
-0.000827789306640625,
0... | 41,700 | 41700 | |
Time-Varying Analysis...
June 11th 2008, 12:07 AM #1
Newbie
Joined
Jun 2008
Posts
3
Time-Varying Analysis...
Hi all,
I'm working on time-varying circuit analysis (i'm an electrical engineer), and i'm trying to come up with a frequency domain equation for a simple time-varying circuit. Basically i'v... | 4 | [
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0.058837890625,
0.01470947265625,
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-0.068359375,
0.07... | 41,701 | 41701 | |
How do I convert 7.54147813E^-4 into an integer or fraction.
July 14th 2014, 09:37 AM #1
Newbie
Joined
Jul 2014
From
Delaware
Posts
10
How do I convert 7.54147813E^-4 into an integer or fraction.
I was doing a probability tree and you have to take the probability tree like this (1/52)*(1/51)+(1/52)(1... | 4 | [
0.01336669921875,
0.052978515625,
0.01904296875,
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0.01708984375,
0.048095703125,
-0.019775390625,
-0.021240234375,
-0.047119140625,
-0.0043029... | 41,702 | 41702 | |
Sunday FunctionSunday Function
Consider this not-so-difficult sum:
It consists of just a string of fractions up to whichever N you happen to choose. Add them up, and you certainly and unambiguously have a number. If you chose to stop at N = 10, you’d find that f(10)
= 1627/2520, which is about 0.645635. If you chose t... | 4 | [
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0.0311279296875,
0.00982666015625,
-0.1025390625,
-0.0854492187... | 41,703 | 41703 | |
On Testing Goodness-of-fit for Cauchy Distribution
MEASUREMENT SCIENCE REVIEW, Volume 3, Section 1, 2003
On Testing Goodness-of-fit for Cauchy Distribution
s ı
... | 4 | [
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0.04736328125,
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0.08544921875,
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0.04736328125,
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-0.02294921875,
-0.052978515625,
-0.0830078125,
0.038818359375,
-0... | 41,704 | 41704 | |
DE Marathon
June 14th 2008, 04:16 PM
Chris L T521
DE Marathon
Mathstud's Limit Marathon has inspired me to start a Differential Equation Marathon. It will have similar rules : "after someone completes a DE and gets the OK from the DE's poster, he/she posts
their own DE."
There are no restrictions on how... | 5 | [
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0.07421875,
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0.0654296875,
0.0184326171875,
-0.0380859375,
-0.06591796875,
-0.012878417968... | 41,705 | 41705 | |
A Game on Noetherian Rings
up vote 111 down vote favorite
49
A friend suggested the following combinatorial game. At any time, the state of the game is a (commutative) Noetherian ring $\neq 0$. On a player's turn, that player chooses a nonzero non-unit element
of the ring, and replaces the ring with its quotient by th... | 4 | [
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0.00537109375... | 41,706 | 41706 | |
diverging or converging?
January 28th 2009, 05:24 PM
razorfever
diverging or converging?
determine whether the integral diverges or converges
if it converges then evaluate the integral
integral from 0 to infinity: xe^-(x^2) dx
integral from 0 to 1: xln(x) dx
integral from 1 to infinity: (ln t)... | 5 | [
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-0... | 41,707 | 41707 | |
Linear Programming (Mixed Integer)
This document explains the use of linear programming (LP) – and of mixed integer linear programming (MILP) – in Sage by illustrating it with several problems it can solve. Most of the examples given
are motivated by graph-theoretic concerns, and should be understandable without any s... | 5 | [
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-0.0111083984375,
-0.0... | 41,708 | 41708 | |
quick Calc Equation question
December 29th 2008, 05:03 PM
OnMyWayToBeAMathProffesor
quick Calc Equation question
Hello,
I am stuck with this one question, I do not even know how to begin. Any help would be greatly appreciated.
Determine $a$, $b$, $c$ and $d$ so that the graph of $ax^3+bx^2+cx+d$ has a p... | 4 | [
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0.1015625,
0.04443359375,
... | 41,709 | 41709 | |
Can we decide if an abelian variety is simple by knowing its Zeta function ?
up vote 3 down vote favorite
Let $A$ be an Abelian variety defined over the finite field with $q$ elements. Let $P_i(T)$ be the characteristic polynomial of the action of the Frobenius on the $i^{th}$ étale cohomology group.
Is the following... | 5 | [
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Knot Invariants from Twisted Quantum Doubles
up vote 8 down vote favorite
3
In "Topological Gauge Theories and Group Cohomology", Dijkgraaf and Witten construct a 3-manifold invariant from a finite group $G$ and 3-cocycle $\omega$. I would think there is also an associated
knot invariant, coming in particular from the... | 4 | [
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0.07... | 41,711 | 41711 | |
y' = 1 - y^2 Nonlinear 1st order ODE help
October 23rd 2010, 08:34 PM #1
Newbie
Joined
Oct 2010
Posts
4
y' = 1 - y^2 Nonlinear 1st order ODE help
Hi,
I'm trying to solve y' = 1 - y^2.
Using partial fractions I ended up with y = (Ae^2x - 1)/(Ae^2x +1). However, this differs to an answer I was giv... | 5 | [
-0.053466796875,
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... | 41,712 | 41712 | |
Find all polynomials p(x)
December 20th 2012, 01:51 PM
ohYeah
Find all polynomials p(x)
Hi so I was doing this question on my own for a while now, and I really can't find a way to answer part b)
I looked everywhere in the textbook nothing similar.
do you guys think the question is missing something, or a... | 5 | [
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0.029052734375,
-0.06640625,
-0.00... | 41,713 | 41713 | |
Find the coordinates of the point (x,y,z) on the plane z = x + 3y + 3 which is ...
January 10th 2012, 06:58 AM #1
Super Member
Joined
Nov 2008
Posts
597
Find the coordinates of the point (x,y,z) on the plane z = x + 3y + 3 which is ...
Question: Find the coordinates of the point (x,y,z) on the plane z = ... | 5 | [
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0.00689697265625,
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0.0015411376953125,
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-0.0234375,
-0.045654296875,
-0.046875,
-0.0308837890625,
-0.09521484... | 41,714 | 41714 | |
Basics: Logic, aka “It’s illogical to call Mr. Spock logical”
This is another great basics topic, and it’s also one of my pet peeves. In general, I’m a big
science fiction fan, and I grew up in a house where every saturday at 6pm, we all gathered in front
of the TV to watch Star Trek. But one thing which Star Trek cont... | 4 | [
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0.021484375,
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Computation for composition of polynomials
up vote 1 down vote favorite
1
Let $R$ be a ring, $f(X)$ be a polynomial with coefficients in $R$ of degree $n$. It's known that for any $\alpha \in R$, one can evaluate $f$ at $\alpha$, i.e compute $f( \alpha) $ in $O(n)$
operations in $R$ for some $k >0$ . But could we comp... | 5 | [
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-0.0013580322265625,
0.... | 41,716 | 41716 | |
Simultaneous Equation, modelling with algebra and algebraic proof.
August 25th 2010, 07:17 AM #1
Newbie
Joined
Jul 2010
Posts
5
Simultaneous Equation, modelling with algebra and algebraic proof.
1)I've spent ages trying to work this out but keep getting stuck by not being able to factorise the last bit, ... | 4 | [
0.026611328125,
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0.0137939453125,
... | 41,717 | 41717 | |
Finding coefficients using asymptotic methods
March 4th 2010, 06:06 PM
Deadstar
Finding coefficients using asymptotic methods
The ordered bell numbers can be defined by the power coefficients
$\frac{1}{2-e^z} = \sum_{n=0}^{\infty} \frac{b(n)}{n!} z^n$ which is convergent in a neighbourhood of z=0.
Dete... | 5 | [
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0.013916015625,
-0.01214599609375,
-0.08... | 41,718 | 41718 | |
Atmospheric Pressure
The pressure on a scuba diver's body is the gravitational force per unit area due to the water and air above him. Because the density of water is nearly constant, varying only slightly with
temperature, its contribution to the total pressure is easy to calculate: it is simply the product of the wat... | 4 | [
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0.03955078125,
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-0.044677734375,
0.05639648437... | 41,719 | 41719 | |
or
PDL::RungeKutta - Solve N-th order M dimensional ordinary differential equations using adaptive stepsize Runge Kutta method.
This module allows to solve N-th order M dimensional ordinary differential equations. It uses the adaptive stepsize control for fifth order Cash-Karp Runge-Kutta algorithm described in "Numer... | 5 | [
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0.041259765625,
-... | 41,720 | 41720 | |
Math Forum Discussions
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Search All of the Math Forum:
Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.
Math Forum » Discussions » Policy and News » geometry.ann... | 4 | [
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-0.0052490234375,
-0.0283203125,
-0.0698242187... | 41,721 | 41721 | |
A question about the topological proofs of Bott periodicity
up vote 24 down vote favorite
13
There are purely topological proof of Botts periodicity theorem, the first one given by Dyer and Lashof. I am heading to discuss the proof in my lecture course on homotopy theory (as a final chord
and as an application of the ... | 4 | [
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0.004547119140625,
-0.08740234375,
-0.01416015625,
... | 41,722 | 41722 | |
N choose K
The Kalman filter is an algorithm that estimates the values of unknown, or latent, variables from a series of noisy measurements taken over time. The Kalman filter has numerous applications in
finance and different areas of engineering, and in this blog post, we will show how the Kalman filter can apply to s... | 4 | [
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-0.018798828125,
0.028076171875,
0.03320312... | 41,723 | 41723 | |
Permutations and Combinations
November 4th 2013, 06:48 PM #1
Member
Joined
Jan 2013
From
Australia
Posts
154
Thanks
3
Permutations and Combinations
I'm having a hard time grasping just how to apply my knowledge of counting methods to certain questions in my textbook. Although everything (seems to... | 4 | [
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0.04345703125,
-0.06982421875,
-0.041503... | 41,724 | 41724 | |
Acceleration and Ode's
March 6th 2008, 05:07 PM #1
Newbie
Joined
Mar 2008
Posts
11
Acceleration and Ode's
ok this prob is a little trickier (x double dot) is given. in gen as a func of x, x dot and t, and here by expression -dot of x + 2e^(-t)+1
Find solution for x(t)
which satisfies x(0)= dot o... | 5 | [
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0.006591796875,
-0.08544921875,
-0.0322265625,
0.0301... | 41,725 | 41725 | |
Solving a Typical Rate-Time-Distance Problem
Date: 09/02/2005 at 20:14:45
From: Daniela
Subject: I need help with figuring out word problems
I need help with figuring out word problems. I just don't understand
them! I have this problem:
You are taking part in a charity walk-a-thon where you can either walk
or run.... | 4 | [
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-0.00823974609375,
-0... | 41,726 | 41726 | |
Do sets of all pairs of real numbers form fields?
January 5th 2010, 09:09 PM
Mollier
Do sets of all pairs of real numbers form fields?
Hi,
problem:
Let $F$ be the set of all (ordered) pairs $(\alpha,\beta)$ of real numbers.
(a) If addition and multiplication are defined by
$(\alpha,\beta)+(\gam... | 5 | [
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-0.049560546875,
-0.0439453125,
... | 41,727 | 41727 | |
Help with an Intergral
December 2nd 2008, 05:42 AM #1
Member
Joined
Mar 2007
Posts
80
Help with an Intergral
For the curve Y = -5x4 + 50x3 – 145x2 + 150x
Ive made a table for X and Y values and sketched the graph of the profile.
Then it asks me to write and expression for the area under the curv... | 5 | [
-0.0234375,
0.0693359375,
0.0390625,
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-0.00885009765625,
-0.0277099609375,
-0.0015106201171875,
0.04052734375,
-0.06689453125,
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0.00003528594970703125,
-0.08837890625,
0.0810546875,
0.036376953125,
-0.0034942626953125,
0.1640625,
-0.02490234375,
-0.02... | 41,728 | 41728 | |
Partition a square into sub-rectangles with restrictions
up vote 3 down vote favorite
Is there an algorithm to generate all partitions of given square by using $n$ vertical and $n$ horizontal lines into sub-rectangles under the following restrictions:
1- No vertical line crosses any horizontal line and vice versa.
2... | 4 | [
-0.033203125,
0.04150390625,
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-0.0478515625,
0.01312255859375,
0.034912109375,
0.... | 41,729 | 41729 | |
On the smooth structure of the spaces of $k$-jets
up vote 4 down vote favorite
2
I was asking myself, if the following list of conditions is sufficient to determine the usual smooth structure on the spaces of $k$-jets.
1. the map $j^k f:M\ni x\to j_x^k f\in J^k(M,N)$ is smooth, for any $f\in C^{\infty}(M,N)$;
2. th... | 4 | [
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0.0810546875,... | 41,730 | 41730 | |
continuity for a real-valued function
February 22nd 2010, 11:27 AM #1
Junior Member
Joined
Jan 2010
Posts
30
continuity for a real-valued function
I have one more question for now at least. My task is as follows.
Let $f \in \mathbb{R} \wedge \text{be continuous } \backepsilon dom f = (a,b).$ Show th... | 5 | [
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-0.0113525390625,
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0.0208740234375,
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0.10107421875,
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0.041015625,
0.0234375,
-0.03613281... | 41,731 | 41731 | |
What is the math behind this?
September 13th 2008, 12:36 PM #1
Newbie
Joined
Sep 2008
Posts
4
What is the math behind this?
I would like to understand how to solve for r in this problem.
2773=1000(1+r)^36
I know that r=.0287 but I do not understand how to solve with the exponents. Do I use Ln?
... | 4 | [
0.064453125,
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0.046142578125... | 41,732 | 41732 | |
How to Find the Roots of a Quadratic Equation
I will illustrate and describe how to find the roots of a quadratic equation using the quadratic formula. I will also include some extra information, such as the discriminant of the quadratic formula
and the proof of the quadratic formula. Enjoy!
Let’s start with the defin... | 4 | [
-0.0291748046875,
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-0.0267333984375,
0.01458740234375,
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0.06787109375,
0.1083984375,
-0.0155029296875,
0.04541015625,
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0.068359375,
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0.045654296875,
-0.00494384765625,
0.... | 41,733 | 41733 | |
how to determine whether an ideal is prime or not by an algorithm
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Given polynomials $f_{1},\cdots,f_{n}\in \mathbb{C}[x_{1},\cdots,x_{m}]$, do we have an algorithm to determine ... | 4 | [
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0.0189208984375,
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0.083984375,
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0.02587890625,
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0.023193359375,
0.027587890625,
0.033... | 41,734 | 41734 | |
Modules over P.I.D
Show that any finitely generated torsion free module is a free module.. Any help is appreciated ..
See Hungerford's algebra book p221. The sketch of the proof is Let A be a finitely generated torsion-free module over PID R. Let X be a finite set of nonzero generators of A. Let S be a maximal
subset ... | 4 | [
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0.059814453125,
... | 41,735 | 41735 | |
Differentiating Absolute Values
April 16th 2010, 01:43 PM
demode
Differentiating Absolute Values
How do we differentiate $f(x,y)=|xy|$? I know that the derivative of $xy$ itself is $x+y$, and the derivative with respect to x and y are respectively $f_x=y$ and $f_y=x$. But I don't understand
how to find the d... | 5 | [
0.050048828125,
-0.0693359375,
-0.0556640625,
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0.044677734375,
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0.03076171875,
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0.11962890625,
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0.08056640625,
0.0023345947265625,
0.06982421875,
0.009765625,
-0.0... | 41,736 | 41736 | |
Sigma function help
April 20th 2008, 09:36 PM
kleenex
Sigma function help
Let $\sigma_k(n) = \sum_{d|n}d^k$ (Note: $\sigma_1(n) = \sigma(n)$) the sum of the $k$th powers of divisors of n.
Is $\sigma_3(2) = 1^3 + 2^3 = 9$?
Also I need so help on the following:
□ Give a formula for $\sigma_k(p)$ an... | 4 | [
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0.... | 41,737 | 41737 | |
Quadratic Functions in Standard Form
The graph of a quadratic function is "U" shaped and is called a parabola. The exploration is carried by changing the values of all 3 coefficients $a$, $h$ and $k$. Once you finish the present
tutorial, you may want to go through another tutorial on graphing quadratic functions.
Thi... | 4 | [
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-0... | 41,738 | 41738 | |
parametric equations
January 25th 2007, 03:56 AM #1
Member
Joined
Nov 2006
Posts
123
Let P be the point (3,1,-2) and L be the line given by x=-4+2t, y=2+2t, z=1+t.
Find parametric equations for the line passing through P and intersecting L at a right angle.
Could you please show me how to solve t... | 5 | [
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0.031982421875,
-0.06396484375,
-0.0568... | 41,739 | 41739 | |
Newton Raphson
November 11th 2010, 12:50 PM #1
Newbie
Joined
Nov 2010
Posts
2
Newton Raphson
I am trying to determine the real number x with cos(x)=2x, Newton Method with f(x)=cos(x)-2x.
How do I try and solve this?
Thanks,
Joan
You are trying to solve $0=\cos(x)-2x$
The function is... | 5 | [
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[SOLVED] Is this problem a related rate or first derivative(velocity).
March 3rd 2009, 06:34 AM
swatpup32
[SOLVED] Is this problem a related rate or first derivative(velocity).
At time t a particle moving along the x-axis is at position x. The relationship between x and t is given by: tx = x^2 +10. At x=2 what i... | 5 | [
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0.045654296875,
0.00543212890625,
0.01635... | 41,741 | 41741 | |
definition of derivative
May 10th 2009, 05:15 PM #1
Newbie
Joined
May 2009
Posts
8
definition of derivative
Using the definition of derivative how do i solve this equation: f(x)=5/square root 3x. Please help....? Ive used the fast short cuts to find this derivative but I cant seem to get how to do it
... | 5 | [
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0.05712890625,
-0.0693359375,
-0.00234985... | 41,742 | 41742 | |
Constructive proof of algebraic elements forming a subfield
up vote 1 down vote favorite
Let $F \leqslant E$ be a field extension.
If $a, b \in E$ are algebraic over $F$ then $a+b$ and $ab$ are algebraic as well. There is an short proof of this using the extension $E(a,b)$:
$[E(a,b):E]$ is finite so all elements are... | 4 | [
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0.0294... | 41,743 | 41743 | |
Roland Bouman's blog
At the MySQL User's conference 2008 I did a tutorial on
MySQL User-defined functions
. At the same conference, Brian Miezejewski and
Mark Atwood
did
a talk
on
aggregate UDFs
.
In relation their upcoming talk, Mark wrote a
blog post
reporting that MySQL Aggregate UDFs are three times slow... | 5 | [
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0.06396484375,
-0.047... | 41,744 | 41744 | |
points where function has a horizontal tangent line
January 11th 2009, 09:51 PM
Neverending
points where function has a horizontal tangent line
Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.
http://i146.photobucket.com/albums/r...kitty216/3.jpg
First I... | 4 | [
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0.07421875,
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0.049072265625,
0.042724609375,
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0.087890625,
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0.0458984375,
0.021240234375,
0.004180908203125,
0.058349609375,
-0.087890625,
-0.062... | 41,745 | 41745 | |
Derivation of pendulum time
February 17th 2008, 07:59 AM #1
Derivation of pendulum time
Hi!
I'm trying to derive the periodic time of a pendulum motion. I have started with writing the height $h$ of the object as a function $h(\alpha)$ of the angle $\alpha$. Then I have calculated $h''
(0)$. After that I... | 5 | [
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-0.04736328125,
0.04736328125,
0.048095703125,
-0.055908203125,
0.078... | 41,746 | 41746 | |
no idea on this induction
April 18th 2007, 05:16 AM
Possible actuary
no idea on this induction
Let f(x)=xe^(-x). Prove that f^(n) (x)=(-1)^n * e^(-x) * (x-n) for every positive integer n.
I have no idea at all on how to do this.
April 18th 2007, 05:22 AM
Plato
Do you know how to differentiate that fu... | 5 | [
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0.0191650390625,
-0.01397705078125,
-0.0267333984375,
-0.0458984375,
-0.03... | 41,747 | 41747 | |
Hidden Power (move)/Calculation
From Bulbapedia, the community-driven Pokémon encyclopedia.
Main article: Hidden Power (move)
In the Pokémon games, Hidden Power is a Normal-type move when the type is displayed, such as in battle and on status screens. However, the actual type of Hidden Power is determined by the... | 4 | [
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-0.01495361328125,... | 41,748 | 41748 | |
A Phone Chain
Date: 10/28/98 at 22:29:04
From: Leah
Subject: Phone chain
I'm trying to figure out if there is a formula for this problem.
There is a phone chain of people on a response team. When the first
person gets a call, he calls two people, those two call two more, and
each person calls two more. In all, 55 p... | 4 | [
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0.01458740234375,
-0... | 41,749 | 41749 | |
Explicit formula for the trace of an unramified principal series representation of $GL(n,K)$, $K$ $p$-adic.
up vote 13 down vote favorite
5
Let $K$ be a non-arch local field (I'm only interested in the char 0 case), let $\mathbb{G}$ be a connected reductive group over $K$ and let $G=\mathbb{G}(K)$. If $V$ is a smooth ... | 4 | [
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-0.027587890625,
0.061767578125,
-... | 41,750 | 41750 | |
Holomorphic map from a neighborhood in $\mathbb C$ to S^3
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
Does there exist a holomorphic map from a neighborhood of $\mathbb C$ to $S^3 \subseteq \mathbb C^2$?
Please do... | 5 | [
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... | 41,751 | 41751 | |
An "average word problem" in the Khan Academy
Posted by: Alexandre Borovik | May 28, 2011
An “average word problem” in the Khan Academy
A colleague asked me to have a look at mathematics in the Khan Academy. I clicked at a random exercise; it happened to be not an ““average word problem“, but a “word problem about ... | 4 | [
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-0.004486083984375,
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-0.0262451171875,
-0.072265625,
-0... | 41,752 | 41752 | |
Inequality problem
February 11th 2008, 02:10 PM
Mathroum
Inequality problem
Could anyone help me solving this inequality?
a,b,c are positive real numbers, proove that:
[a/(b+c) + 1/2]*[b/(a+c) + 1/2]*[c/(a+b) + 1/2] >- +1
Thank You
I tried to do it with LaTEx:
$( \frac{a}{b+c} + \frac{1... | 5 | [
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0.056640625,
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0.052734375,
0.004791259765625,
... | 41,753 | 41753 | |
Linear Combinations (Probability) question
September 28th 2008, 06:35 PM
agbrianlee355
Linear Combinations (Probability) question
I would like to start by thanking mrfantastic for solving BOTH my prob. questions (Bow). Thank you!!
Anywayz, heres my question:
You know the rule for Linear Combinations wh... | 4 | [
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-0.03369140625,
0.0306... | 41,754 | 41754 | |
Can you help me with understand how to solve this problem? Find the slope of the line that goes through the following... - Homework Help - eNotes.com
Can you help me with understand how to solve this problem? Find the slope of the line that goes through the following points: (-4,6), (-8,6)
The slope of a line is the m... | 4 | [
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-0.029296875,
0.126953125,
-0.095703125,
0.019409179687... | 41,755 | 41755 | |
First order differential equation
January 30th 2010, 09:38 AM
Em Yeu Anh
First order differential equation
Solve the differential equation $y' - xy^2 = 2xy$
What I have done:
$\frac{dy}{dx}=2xy+xy^2$
At this point I thought it would be best to factor out the x term.
$\frac{dy}{dx}=x(2y+y^2)$
... | 5 | [
-0.068359375,
-0.01904296875,
0.08544921875,
0.0498046875,
0.0556640625,
0.0322265625,
-0.08447265625,
-0.03955078125,
-0.0517578125,
-0.0037078857421875,
0.1328125,
0.0145263671875,
0.00133514404296875,
0.0133056640625,
-0.001953125,
0.0703125,
-0.030029296875,
0.0106201171875,
... | 41,756 | 41756 | |
Stokes Theorem Help Needed!
December 4th 2009, 10:10 AM #1
Junior Member
Joined
Mar 2009
Posts
63
Stokes Theorem Help Needed!
Use Stokes' Theorem to evaluate
$\int F \cdot dr C\ is\ oriented\ counterclockwise\ as\ viewed\ from\ above.$
$F(x,y,z) = x i + y j + (x^2 + y^2) k$
$C\ is\ the\ boun... | 4 | [
0.00433349609375,
0.032958984375,
-0.005218505859375,
-0.050048828125,
-0.0205078125,
-0.00799560546875,
-0.019775390625,
0.09228515625,
-0.06103515625,
0.044677734375,
-0.076171875,
0.01416015625,
-0.035888671875,
-0.01446533203125,
-0.037109375,
-0.01080322265625,
-0.0498046875,
... | 41,757 | 41757 | |
Math Forum Discussions
Hetware
Posts: 148
Registered: 4/13/13
Re: Is (t^2-9)/(t-3) defined at t=3?
Posted: Oct 19, 2013 7:17 PM
On 10/19/2013 2:15 PM, Peter Percival wrote:
> You really see no difference between
>
> Let f be a continuous, twice differentiable function...
>
> and
>
> Let f be defined by <some formula... | 4 | [
-0.07275390625,
-0.03173828125,
-0.025390625,
0.00079345703125,
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0.09033203125,
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0.04931640625,
0.06884765625,
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0.0201416015625,
0.068359375,
0.004180908203125,
0.1201171875,
0.05859375,
-0.040771484375,
-0.039306640625,
-0.03564453125,... | 41,758 | 41758 | |
n-th integral cohomology of a non-compact manifold of dimension n
up vote 5 down vote favorite
3
Let $M$ be a smooth connected oriented without boundary non-compact manifold of dimension n.
Let $k$ be a principal ideal, e. g. the integers $Z$
Let $H_n(M)$ and $H^n(M)$ be the homology and cohomology in degree n of $M... | 5 | [
-0.0155029296875,
0.1279296875,
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0.021240234375,
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0.002655029296875,
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0.01263427734375,
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0.0... | 41,759 | 41759 | |
Simplification of Fractional Expressions
How do I simplify these fractional expressions? $(x + h)^-3 - x^-3 \over h$ $\sqrt{1+(x^3-\frac{1}{4x^3})^2}$ thanks!
$\frac{ (x + h)^{-3} - x^{-3}}{h}$ $= \frac{ \frac{1}{(x + h)^3} - \frac{1}{x^3}}{h}$ Multiply the numerator and denominator of the overall fraction by the LCD ... | 4 | [
0.061767578125,
0.01141357421875,
-0.0054931640625,
0.03173828125,
0.0026092529296875,
-0.0771484375,
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-0.04638671875,
0.06494140625,
-0.0277099609375,
0.032470703125,
-0.0390625,
0.035400390625,
0.0023193359375,
0.050537109375,
0.09814453125,
0.0257568359375,
0.0649... | 41,760 | 41760 | |
Representation Theory
April 7th 2011, 12:34 AM
Turloughmack
Representation Theory
Im stuck on these problems and could use some help.
1. Show that if p is a representation of a group G, then p* defined as
p*(x) = p(x^-1)^T
is again a representation of G. (Here T means transpose.)
2. Let G be ... | 5 | [
-0.10302734375,
0.058349609375,
0.00775146484375,
0.059326171875,
0.00506591796875,
0.08154296875,
0.07421875,
-0.01458740234375,
0.003814697265625,
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0.01416015625,
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-0.00958251953125,
-0.0242919921875,
0.... | 41,761 | 41761 | |
Math Help
December 6th 2012, 09:51 AM #1
Senior Member
Joined
Sep 2012
From
Sweden
Posts
250
Thanks
6
intersection
From the point drawn normals to the two planes and have the equations and . A plane containing the two normals. Determine the intersection, and . (ON-system.) ima answer the interse... | 5 | [
-0.00701904296875,
-0.022705078125,
-0.0184326171875,
-0.0380859375,
0.0118408203125,
0.01141357421875,
0.04296875,
-0.01080322265625,
-0.05419921875,
0.055419921875,
-0.00396728515625,
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0.00823974609375,
0.0050048828125,
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0.033447265625,
-0.10009765625,
... | 41,762 | 41762 | |
Linear Approximation in 2 variables
May 28th 2009, 10:05 PM #1
Member
Joined
Mar 2009
Posts
133
Linear Approximation in 2 variables
Hello MHF,
needing some help in computing the following...
Compute the equation of the tangent plane to the graph of the function
$f(x,y) = \tan^{-1}\left(\frac{... | 4 | [
0.01043701171875,
-0.01556396484375,
0.053955078125,
-0.04296875,
0.06005859375,
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0.0240478515625,
0.04345703125,
-0.028076171875,
0.052001953125,
0.03173828125,
0.004974365234375,
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0.0322265625,
-0.024169921875,
0.0281982421875,
0.044189453125,
-0.05371... | 41,763 | 41763 | |
Integrate this singularity?
January 6th 2013, 04:39 PM #1
Integrate this singularity?
I found this problem recently on Yahoo Answers! It is gone now because it went unanswered after four days, and it is the policy of YA! to delete such questions.
Given:
${I(n)=\int^{\pi/2}_{-\pi/2}\frac{\cos(2nx)}{(1+e... | 5 | [
-0.07080078125,
0.006622314453125,
0.022216796875,
0.034912109375,
0.049560546875,
-0.01031494140625,
0.023681640625,
0.1083984375,
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0.048583984375,
0.03662109375,
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-0.01519775390625,
0.00119781494140625,
-0.10986328125,
0.06787109375... | 41,764 | 41764 | |
Analize convergence of an infinite series
July 20th 2008, 02:12 PM #1
Newbie
Joined
Jul 2008
Posts
14
Analize convergence of an infinite series
This is the series:
$\sum_{n=1}^{\inf}{ (\tfrac{1}{2n} - \tfrac{1}{2(n+1)})}$
So this is what I did:
$\sum_{n=1}^{\inf}{ (\tfrac{1}{2n} - \tfrac{1... | 5 | [
-0.026123046875,
-0.126953125,
0.057861328125,
0.0179443359375,
0.0123291015625,
-0.0361328125,
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0.09716796875,
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0.01251220703125,
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0.057373046875,
-0.057861... | 41,765 | 41765 | |
How do you evaluate this Integral by hand?
May 5th 2011, 12:32 PM #1
Junior Member
Joined
Feb 2008
From
Istanbul
Posts
51
Hello everyone,
I am curious about how to evaluate the following integral without the use of a computer.
$\int\((1-\beta^{2})\sin(\varphi)d\varphi/(1-\beta^{2}\sin(\varphi)... | 5 | [
-0.0274658203125,
0.031494140625,
0.0013885498046875,
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0.006744384765625,
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0.00634765625,
0.0240478515625,
0.0306396484375,
0.06396484375,
-0.036865234375,
0.046142578125,
-0.050048828125,
0.0269775390625,
-0.054931640625,
0.04931640625,
0.042968... | 41,766 | 41766 | |
Compounded Continuously
August 11th 2008, 04:53 AM
magentarita
Compounded Continuously
How many years will it take for an initial investment of $10,000 to grow to $25,000? Assume a rate of interest of 6% compounded continuously.
August 11th 2008, 05:26 AM
Simplicity
Quote:
The continuous compound in... | 4 | [
0.0390625,
0.00225830078125,
-0.06298828125,
-0.0194091796875,
-0.0341796875,
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0.0771484375,
-0.02685546875,
0.1123046875,
0.08203125,
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0.0130615234375,
0.08984375,
-0.00634765625,
0.04345703125,
-0.1259765625,
-0.0299072265625,
-0.046... | 41,767 | 41767 | |
Newton’s Second Law Lab Answers
Equipment:
• Kinematics Cart
• Kinematics Track
• 50g hanger
• Several 100g masses
• String
• Pulley
• iBook Computer
• USB Cable
• Motion sensor
Purpose:
How will the acceleration of an object’s mass (m) change when the net force acting on it changes?
Prediction:
... | 4 | [
-0.033447265625,
-0.0380859375,
0.0380859375,
0.045166015625,
0.076171875,
-0.0279541015625,
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0.00909423828125,
0.011474609375,
0.1337890625,
0.07275390625,
0.006866455078125,
-0.024169921875,
-0.010498046875,
-0.078125,
0.006439208984375,
0.026123046875,
0.04785156... | 41,768 | 41768 | |
Second-order undecidability
up vote 2 down vote favorite
Hi,
The idea of undecidability in computability theory seems to be along the lines of: There can't be an effective procedure, that decides all instances of input, but a single instance can still be
decided. I view this as requiring a lot of "ad hoc" techniques ... | 5 | [
-0.042236328125,
-0.0380859375,
-0.0194091796875,
-0.0184326171875,
0.007080078125,
-0.0654296875,
-0.05810546875,
-0.054443359375,
-0.0296630859375,
-0.01361083984375,
-0.031005859375,
0.05615234375,
0.047607421875,
0.031982421875,
0.0380859375,
-0.03271484375,
0.028564453125,
0.0... | 41,769 | 41769 | |
is there a solution for equation $\arcsin((1-x)^{1/2})=\arccos(x^{1/2})$ in which $x$ is rational number
up vote 0 down vote favorite
1
is there a solution for equation $\arcsin((1-x)^{1/2})=\arccos(x^{1/2})$ in which $x$ is rational number without using $\sin$ and $\cos$ functions in which?
tag-removed
1 @Hashem... | 5 | [
-0.026123046875,
-0.037841796875,
-0.007537841796875,
0.1123046875,
-0.02099609375,
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0.0306396484375,
0.032470703125,
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0.052734375,
0.07958984375,
0.005340576171875,
0.0179443359375,
0.0277099609375... | 41,770 | 41770 | |
Two Cyclists
March 10th 2011, 08:12 AM #1
Junior Member
Joined
Sep 2008
Posts
73
Two Cyclists
This is a review problem
Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles ... | 4 | [
0.027587890625,
0.072265625,
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0.0113525390625,
0.04541015625,
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0.0322265625,
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0.05078125,
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0.038330078125,
0.022216796875,
-0.00665283203125,
0.058349609375,
-0.07080078125,
0.05053710... | 41,771 | 41771 | |
Bresenham Line and Circle Drawing
Home
>
Research
>
Short Notes
Bresenham Line and Circle Drawing
W. Randolph Franklin (WRF)
Bresenham Algorithm - Optimized Line Drawing Code
We want to draw a line from (0,0) to (x1,y1), where 0<=y1<=x1, by setting one pixel per column. For example, if x=10, y=7, we get this:
H... | 4 | [
0.0008392333984375,
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-0.037109375,
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0.0283203125,
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0.01318359375,
-0.0218505859375,
-0.033935546875,
0.052978515625,
-0.0291748046875,... | 41,772 | 41772 | |
Please help! just one Simultaneous equations' problem'''
Hi below is the problem: 3x2 – 4x + 3y = 0 3y2- 4y + 3x = 0 thx u!
if i make 3x^2 - 4x + 3y = 0 ---- 1 3y^2 - 4y + 3x = 0 ---- 2 (1) - (2) hence i gt: 3x^2 - 3y^2 + 3y - 3 x + 4y - 4 x = 0 3( x - y ) ( x + y ) - 7( x - y ) = 0 how shd i continue from here thx...... | 4 | [
0.0086669921875,
0.0137939453125,
-0.061279296875,
-0.0235595703125,
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0.003082275390625,
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0.005767822265625,
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0.03662109375,
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0.10107421875,
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-0.018310546875,
0.0272216796875,
-0.1064453125... | 41,773 | 41773 | |
Area and Circumference of a Square
August 25th 2012, 03:51 PM
citcat
Area and Circumference of a Square
I know that the derivative of the area of a circle (pi*r^2) is the circumference of a circle (2pi*r). How can I show that relationship exists with the area and circumference of a square?
(assuming the radi... | 4 | [
0.09423828125,
0.034912109375,
-0.007080078125,
0.0859375,
-0.01458740234375,
0.03564453125,
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0.09033203125,
0.043701171875,
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0.007415771484375,
0.014892578125,
0.07958984375,
0.06494140625,
-0.01123046875,
-0.050048828125,
0.0230712890625,
0.0617675... | 41,774 | 41774 | |
Integral Homework Question
November 19th 2013, 02:37 PM #1
Newbie
Joined
Apr 2013
From
canada
Posts
3
Integral Homework Question
Good Evening Everyone, recently in my first year single variable Calculus class we started learning integrals. I have been working on a homework problem that I believe to h... | 4 | [
-0.059814453125,
0.022705078125,
-0.0025482177734375,
0.052734375,
-0.052978515625,
0.068359375,
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0.0257568359375,
0.0247802734375,
-0.059326171875,
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0.01251220703125,
0.0234375,
-0.056640625,
-0.04150390625,
0.0400390625,
-0.058837... | 41,775 | 41775 | |
JFK Witness Deaths: Graphical Proof of a Conspiracy
JFK Witness Deaths: Graphical Proof of a Conspiracy
Richard Charnin
Oct.14, 2013
Updated:July 26, 2014
JFK Blog Posts
JFK Calc Spreadsheet Database
Probability Tables
This post is updated for the latest data, analysis and graphics from the JFK Calc Spreadsheet/dat... | 4 | [
0.03271484375,
-0.0458984375,
-0.04541015625,
0.0216064453125,
0.0654296875,
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0.0771484375,
0.0556640625,
0.072265625,
0.06396484375,
0.016357421875,
0.0595703125,
-0.042724609375,
0.006805419921875,
-0.06494140625,
0.01348876953125,
-0.0098876953... | 41,776 | 41776 | |
Math Forum Discussions
quasi
Posts: 10,188
Registered: 7/15/05
Re: disjunctive constraints in integer linear programming
Posted: Apr 14, 2013 2:43 AM
Ray Vickson wrote:
>
>There is a general method for modelling alternative constraint
>groups of the form either
>{f1(x) <= 0 and f2(x) <= 0 and ... and fr(x) <=0}
>or
>... | 4 | [
-0.0281982421875,
0.0272216796875,
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0.0269775390625,
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0.02783203125,
0.0224609375,
-0.0673828125,
0.037841796875,
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0.0517578125,
0.05859375,
0.03515625,
-0.003448486328125,
0.021240234375,
-0.00265502929... | 41,777 | 41777 | |
the intersection of a collection of compact sets is compact
February 28th 2010, 12:43 PM
inthequestofproofs
the intersection of a collection of compact sets is compact
Hello
I have to prove that the intersection of a collection of compact sets is compact
This is what I have so far:
Each set in the ... | 5 | [
0.048828125,
0.0308837890625,
0.005218505859375,
-0.030517578125,
-0.01336669921875,
0.078125,
0.058837890625,
0.05322265625,
-0.04443359375,
0.00311279296875,
-0.1103515625,
0.0308837890625,
0.0859375,
0.0003204345703125,
-0.00811767578125,
0.07666015625,
-0.0038909912109375,
-0.0... | 41,778 | 41778 | |
proof (mathematical proof?)
March 22nd 2013, 06:12 PM
ryu1
proof (mathematical proof?)
Hi again,
This time I'd like to ask for your opinion on a "mathematical" proof I wrote as an answer to a problem from my teacher:
Problem: Be f(x) continuous for every x, passes through the point (1,2) (f(1) = 2), it... | 5 | [
-0.0257568359375,
0.0135498046875,
0.08056640625,
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0.035888671875,
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0.0908203125,
0.0150146484375,
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0.021728515625,
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0.07275390625,
0.02783203125,
0.034912109375,
0.052490234375,
-0.044189453125,
-0.046875,... | 41,779 | 41779 | |
Basic Proof by Induction
December 5th 2011, 01:38 PM #1
Newbie
Joined
Mar 2011
Posts
7
Basic Proof by Induction
Hi,
im a bit stuck on an question,
using proof by induction, prove that
sum_(r=1)^n(2 r-1) = n^2
same formula formatted:
http://www.wolframalpha.com/input/?i=Sum[2+r+-+1... | 4 | [
-0.08251953125,
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0.032470703125,
-0.00180816650390625,
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0.01031494140625,
0.1005859375,
-0.0223388671875,
-0.023193359375,
0.049560546875... | 41,780 | 41780 | |
please help this math riddle has been killing me...
August 9th 2010, 10:59 AM
ducktales
please help this math riddle has been killing me...
An amazing BLC tournament is taking place at the moment. A total of 97 teams competing each other to determine the champ. It's sponsored by theShrimp and the winning team wi... | 4 | [
-0.006866455078125,
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0.03515625,
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0.028076171875,
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-0.01239013671875,
0.00482177734375,
-0.0... | 41,781 | 41781 | |
Exponential Equations
Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.
How do you find an analytical solution for 3^x-x=4?
Questions on MathOverflow are expected to relate to research level mathematics within the scope def... | 5 | [
-0.022216796875,
0.02685546875,
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0.03662109375,
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0.03369140625,
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0.068359375,
0.053466796875,
0.0152587890625,
0.061279296875,
-0.06591796875,
-0.03198... | 41,782 | 41782 | |
Using your laptop to compute PageRank for millions of webpages
The PageRank algorithm is a great way of using collective intelligence to determine the importance of a webpage. There’s a big problem, though, which is that PageRank is difficult to apply to the web
as a whole, simply because the web contains so many webp... | 4 | [
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Wassily Leontief Input Output Analysis
Wassily Leontief Input Output Analysis, Input Output Model
Any account of Leontief as an economist must begin with his work on input-output. The input-output model is a way of representing the interdependence between the various sectors of the economy.
Sector A supplies inputs (r... | 4 | [
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Finding the general solution of a system of equations
September 24th 2012, 06:10 AM #1
Junior Member
Joined
Sep 2012
From
Toronto
Posts
36
Finding the general solution of a system of equations
Find the general solution to the following system of equations and indicate which variables are free and whi... | 5 | [
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-0.0... | 41,785 | 41785 | |
Dual operators between Hilbert spaces : With or without riesz representation
up vote 1 down vote favorite
Let $X$ and $Y$ be Hilbert spaces over the real numbers (so complex conjugation plays no role, and everything will be linear in the strict sense). Let $f : X \rightarrow Y$ be a linear continuous
mapping.
By the ... | 5 | [
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0.030... | 41,786 | 41786 | |
proving question with integral
June 1st 2013, 11:43 PM #1
Junior Member
Joined
Mar 2013
From
israel
Posts
70
proving question with integral
f is an integrable no-negative function in [a,b]. i need to prove that if exists point $c\in(a,b)$, so f is continous in $c$ and $f(c)>0$, so $\intop_{a}^{b}f(x)... | 5 | [
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... | 41,787 | 41787 | |
inclusion-exclusion principle question
Determine how many integer solutions there are to a+b+c+d=19 if 0<=a<=5, 0<=b<=6, 3<=c<=7, 3<=d<=8
This is an extremely tedious problem to do with inclusion/exclusion! It is easy to do with generating functions. I will start you off with inclusion/exclusion. The number of ways fo... | 4 | [
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Math Help
October 18th 2008, 11:21 AM #1
Junior Member
Joined
Oct 2008
Posts
34
If A=
| |
| 5 e5 t sin(4 t) −5 e2 t cos(4 t)|
| |
| |
| −6 e5 t cos(4 t) −6 e2 t sin(4 t)|
then A^−1 is?
I need to find the inverse matrix of A, (A^-1) i've done it several times and have gotten ... | 5 | [
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EXPLORING THE CONCEPT OF SLOPE
Tools for Teaching Algebra for All Workshop
OBJECTIVE
The student understands the meaning of the slope and intercepts of linear functions and interprets
and describes the effects of changes in parameters of ... | 4 | [
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What Makes A Theorem Important?
December 4, 2010
The Car Crash Theorem and why theorems are important
Anton Klyachko is a mathematician who is an expert on group theory. He has worked extensively on equations over groups and related problems, and is on the faculty of the famous Mathematics and
Mechanics Department ... | 4 | [
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0.003967285... | 41,791 | 41791 | |
Simple Set Question
August 17th 2007, 10:13 AM #1
Member
Joined
Aug 2007
Posts
239
Simple Set Question
To prove that there exists a unique set $N \in \mathcal{P}(X)$ such that $A \Delta N = A$ for all $A \in \mathcal{P}(X)$ is it as simple as choosing $N = \emptyset$ and so:
$(A \cup \emptyset) - (A... | 4 | [
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0... | 41,792 | 41792 | |
Finding a basis for...
July 16th 2009, 04:02 PM #1
Finding a basis for...
This was a bonus question on my test yesterday (I hope I can remember it correctly).
Q: Let W be a subsapce of $P_{3}$ such that P(0)=0 and let U be a subspace of $P_{3}$ such that P(1)=0. Find a basis for both W and U.
A: For W I... | 5 | [
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-0.... | 41,793 | 41793 | |
Equation Help
February 11th 2011, 04:19 PM #1
Newbie
Joined
Feb 2011
Posts
11
Equation Help
I'm having a bit of trouble with this problem.
Solve the equation.
3/2x-1/x+1=1/x(3x+3)
Here is an image of the problem if the equation above is not clear
http://i1198.photobucket.com/albums/...g... | 4 | [
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Limit superior and limit inferior
March 24th 2011, 02:04 PM
Connected
Limit superior and limit inferior
I get the definition of limit superior and limit inferior, but I can't start a proof for these properties:
$\underline{\lim }{\,{x}_{n}}=-\overline{\lim }\left(-{{x}_{n}}\right)$
$\underline{\lim }{\... | 4 | [
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Solving the Differential Amplifier – Part 2
by Adrian S. Nastase
Email 6 Comments Print Subscribe
Design a Differential Amplifier with the Coefficients Identification Method
In the first part of this series, Solving the Differential Amplifier – Part 1, I wrote that the common usage of the differential amplifier is... | 5 | [
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Ordinary differential equations
Returns a function
The derivatives are specified by the vector-valued function F that evaluates x0, and the initial value y0.
For convenience, if the system is one-dimensional, you may optionally provide just a scalar value for y0. In this case, F should accept a scalar y a... | 5 | [
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Finding generators of subalgebra of polynomial algebra $K[x_1,\cdots,x_n]$ that are invariant under the action of symmetric group
up vote 3 down vote favorite
2
Let $I =\langle f_1,\cdots,f_m\rangle \subset K[x_1,\cdots,x_n]$be an ideal, where $f_k\in K[x_1,\cdots,x_n].$
$K[e_1,\cdots,e_n]$ the polynomial algebra gen... | 4 | [
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0... | 41,798 | 41798 | |
Lecture 12_ 13 - PowerPoint Presentation
Advanced Iso-Surfacing
Algorithms
Jian Huang, CS594, Spring 2002
This set of slides are developed and used by Prof.
Han-Wei Shen at Ohio State University.
Iso-contour/surface Extractions
2D Iso-contour 3D Iso-surfa... | 4 | [
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0.05712... | 41,799 | 41799 |